413856 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 137664.

The previous prime is 413849. The next prime is 413863. The reversal of 413856 is 658314.

It is an interprime number because it is at equal distance from previous prime (413849) and next prime (413863).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413856.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁴¹³⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

413856 is an abundant number, since it is smaller than the sum of its proper divisors (795744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413856 is a wasteful number, since it uses less digits than its factorization.

413856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 413856 is about 643.3164073767. The cubic root of 413856 is about 74.5217569294.

The spelling of 413856 in words is "four hundred thirteen thousand, eight hundred fifty-six".